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Q.

The statement p→(q→p) is equivalent to

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a

p→(p→q)

b

p→(p∨q)

c

p→(p∧q)

d

p→(p↔q)

answer is B.

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Detailed Solution

p→(q→p)≡∼p∨(q→p)≡(~p)∨(~q∨p)≡(~q)∨(p∨~p)≡(~q)∨T=T∴ p→(q→p) is  a tautology. Also  p→(p∨q)≡∼p∨(p∨q)≡(~p∨p)∨q≡T∨q=T∴ ρ→(p∨q) ) is also a tautologyThus, p→(q→p)  is equivalent to p→(p∨q)
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